A. Bruce

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math.DG2024

Principal bundles in the category of $Z_{2}^{n}$ -manifolds

Andrew James Bruce, Janusz Grabowski

We introduce and examine the notion of principal $Z_{2}^{n}$ -bundles, i.e., principal bundles in the category of $Z_{2}^{n}$ -manifolds. The latter are higher graded exten…

math.DG2024

The Ternary Structure of Lie Algebroid Connections

Andrew James Bruce

We examine the heap of linear connections on anchored vector bundles and Lie algebroids. Naturally, this covers the example of affine connections on a manifold. We present some new…

Principal bundles in the category of Z2n​-manifolds

The Ternary Structure of Lie Algebroid Connections

Principal bundles in the category of $Z_{2}^{n}$ -manifolds